TSTP Solution File: MGT064+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT064+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:59:22 EDT 2024
% Result : Theorem 10.91s 1.94s
% Output : Refutation 10.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of formulae : 138 ( 41 unt; 0 def)
% Number of atoms : 534 ( 98 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 598 ( 202 ~; 190 |; 157 &)
% ( 15 <=>; 32 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 192 ( 177 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40112,plain,
$false,
inference(subsumption_resolution,[],[f40098,f139]) ).
fof(f139,plain,
smaller(low,mod1),
inference(unit_resulting_resolution,[],[f90,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller) ).
fof(f90,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).
fof(f40098,plain,
~ smaller(low,mod1),
inference(superposition,[],[f10218,f40086]) ).
fof(f40086,plain,
low = hazard_of_mortality(sK4,sK7),
inference(subsumption_resolution,[],[f40078,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X1,X0)
& greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
fof(f40078,plain,
( greater(sigma,sigma)
| low = hazard_of_mortality(sK4,sK7) ),
inference(superposition,[],[f9881,f40058]) ).
fof(f40058,plain,
sigma = age(sK4,sK7),
inference(subsumption_resolution,[],[f40044,f139]) ).
fof(f40044,plain,
( ~ smaller(low,mod1)
| sigma = age(sK4,sK7) ),
inference(superposition,[],[f10218,f39998]) ).
fof(f39998,plain,
( low = hazard_of_mortality(sK4,sK7)
| sigma = age(sK4,sK7) ),
inference(resolution,[],[f9881,f5807]) ).
fof(f5807,plain,
( ~ greater(age(sK4,sK7),sigma)
| sigma = age(sK4,sK7) ),
inference(resolution,[],[f5795,f118]) ).
fof(f5795,plain,
( greater(sigma,age(sK4,sK7))
| sigma = age(sK4,sK7) ),
inference(resolution,[],[f272,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f272,plain,
( smaller(age(sK4,sK7),sigma)
| sigma = age(sK4,sK7) ),
inference(resolution,[],[f115,f83]) ).
fof(f83,plain,
smaller_or_equal(age(sK4,sK7),sigma),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( hazard_of_mortality(sK4,sK6) != hazard_of_mortality(sK4,sK5)
| ~ smaller(hazard_of_mortality(sK4,sK8),hazard_of_mortality(sK4,sK6))
| ~ smaller(hazard_of_mortality(sK4,sK7),hazard_of_mortality(sK4,sK8)) )
& greater(age(sK4,sK8),sigma)
& smaller_or_equal(age(sK4,sK7),sigma)
& greater(age(sK4,sK7),tau)
& smaller_or_equal(age(sK4,sK6),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(sK4,sK5)
& ~ has_endowment(sK4)
& robust_position(sK4)
& organization(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f32,f54]) ).
fof(f54,plain,
( ? [X0,X1,X2,X3,X4] :
( ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
| ~ smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2))
| ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) )
& greater(age(X0,X4),sigma)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X3),tau)
& smaller_or_equal(age(X0,X2),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) )
=> ( ( hazard_of_mortality(sK4,sK6) != hazard_of_mortality(sK4,sK5)
| ~ smaller(hazard_of_mortality(sK4,sK8),hazard_of_mortality(sK4,sK6))
| ~ smaller(hazard_of_mortality(sK4,sK7),hazard_of_mortality(sK4,sK8)) )
& greater(age(sK4,sK8),sigma)
& smaller_or_equal(age(sK4,sK7),sigma)
& greater(age(sK4,sK7),tau)
& smaller_or_equal(age(sK4,sK6),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(sK4,sK5)
& ~ has_endowment(sK4)
& robust_position(sK4)
& organization(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
? [X0,X1,X2,X3,X4] :
( ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
| ~ smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2))
| ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) )
& greater(age(X0,X4),sigma)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X3),tau)
& smaller_or_equal(age(X0,X2),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
? [X0,X1,X2,X3,X4] :
( ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
| ~ smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2))
| ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) )
& greater(age(X0,X4),sigma)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X3),tau)
& smaller_or_equal(age(X0,X2),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( greater(age(X0,X4),sigma)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X3),tau)
& smaller_or_equal(age(X0,X2),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
& smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2))
& smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0,X4,X5,X6,X7] :
( ( greater(age(X0,X7),sigma)
& smaller_or_equal(age(X0,X6),sigma)
& greater(age(X0,X6),tau)
& smaller_or_equal(age(X0,X5),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X4)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4)
& smaller(hazard_of_mortality(X0,X7),hazard_of_mortality(X0,X5))
& smaller(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X7)) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0,X4,X5,X6,X7] :
( ( greater(age(X0,X7),sigma)
& smaller_or_equal(age(X0,X6),sigma)
& greater(age(X0,X6),tau)
& smaller_or_equal(age(X0,X5),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X4)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4)
& smaller(hazard_of_mortality(X0,X7),hazard_of_mortality(X0,X5))
& smaller(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
fof(f115,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| smaller(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) )
& ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) )
& ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f9881,plain,
( greater(age(sK4,sK7),sigma)
| low = hazard_of_mortality(sK4,sK7) ),
inference(resolution,[],[f9791,f7096]) ).
fof(f7096,plain,
( ~ is_aligned(sK4,sK7)
| low = hazard_of_mortality(sK4,sK7) ),
inference(resolution,[],[f7065,f890]) ).
fof(f890,plain,
positional_advantage(sK4,sK7),
inference(unit_resulting_resolution,[],[f75,f82,f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),tau)
| positional_advantage(X0,X1)
| ~ robust_position(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ( positional_advantage(X0,X1)
| ~ greater(age(X0,X1),tau) )
& ( ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau) ) )
| ~ robust_position(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( robust_position(X0)
=> ! [X1] :
( ( greater(age(X0,X1),tau)
=> positional_advantage(X0,X1) )
& ( smaller_or_equal(age(X0,X1),tau)
=> ~ positional_advantage(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f23]) ).
fof(f23,plain,
! [X0] :
( robust_position(X0)
<=> ! [X1] :
( ( greater(age(X0,X1),tau)
=> positional_advantage(X0,X1) )
& ( smaller_or_equal(age(X0,X1),tau)
=> ~ positional_advantage(X0,X1) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( robust_position(X0)
<=> ! [X3] :
( ( greater(age(X0,X3),tau)
=> positional_advantage(X0,X3) )
& ( smaller_or_equal(age(X0,X3),tau)
=> ~ positional_advantage(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4) ).
fof(f82,plain,
greater(age(sK4,sK7),tau),
inference(cnf_transformation,[],[f55]) ).
fof(f75,plain,
robust_position(sK4),
inference(cnf_transformation,[],[f55]) ).
fof(f7065,plain,
! [X0] :
( ~ positional_advantage(sK4,X0)
| ~ is_aligned(sK4,X0)
| low = hazard_of_mortality(sK4,X0) ),
inference(resolution,[],[f105,f255]) ).
fof(f255,plain,
! [X0] : sP2(X0,sK4),
inference(unit_resulting_resolution,[],[f248,f74,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( ( sP2(X1,X0)
| has_immunity(X0,X1) )
& ( very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(definition_folding,[],[f36,f50]) ).
fof(f50,plain,
! [X1,X0] :
( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| ~ sP2(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f36,plain,
! [X0,X1] :
( ( ( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| has_immunity(X0,X1) )
& ( very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( ( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| has_immunity(X0,X1) )
& ( very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X1)
=> ( ( ( ~ positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> high = hazard_of_mortality(X0,X1) )
& ( ( ~ positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> mod2 = hazard_of_mortality(X0,X1) )
& ( ( positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> mod1 = hazard_of_mortality(X0,X1) )
& ( ( positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> low = hazard_of_mortality(X0,X1) ) ) )
& ( has_immunity(X0,X1)
=> very_low = hazard_of_mortality(X0,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X3] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X3)
=> ( ( ( ~ positional_advantage(X0,X3)
& ~ is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = high )
& ( ( ~ positional_advantage(X0,X3)
& is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod2 )
& ( ( positional_advantage(X0,X3)
& ~ is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod1 )
& ( ( positional_advantage(X0,X3)
& is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = low ) ) )
& ( has_immunity(X0,X3)
=> hazard_of_mortality(X0,X3) = very_low ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
fof(f74,plain,
organization(sK4),
inference(cnf_transformation,[],[f55]) ).
fof(f248,plain,
! [X0] : ~ has_immunity(sK4,X0),
inference(unit_resulting_resolution,[],[f74,f76,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X3] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(f76,plain,
~ has_endowment(sK4),
inference(cnf_transformation,[],[f55]) ).
fof(f105,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ positional_advantage(X1,X0)
| ~ is_aligned(X1,X0)
| low = hazard_of_mortality(X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( ( high = hazard_of_mortality(X1,X0)
| positional_advantage(X1,X0)
| is_aligned(X1,X0) )
& ( mod2 = hazard_of_mortality(X1,X0)
| positional_advantage(X1,X0)
| ~ is_aligned(X1,X0) )
& ( mod1 = hazard_of_mortality(X1,X0)
| ~ positional_advantage(X1,X0)
| is_aligned(X1,X0) )
& ( low = hazard_of_mortality(X1,X0)
| ~ positional_advantage(X1,X0)
| ~ is_aligned(X1,X0) ) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| ~ sP2(X1,X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f9791,plain,
! [X0] :
( is_aligned(sK4,X0)
| greater(age(sK4,X0),sigma) ),
inference(subsumption_resolution,[],[f9790,f74]) ).
fof(f9790,plain,
! [X0] :
( greater(age(sK4,X0),sigma)
| ~ organization(sK4)
| is_aligned(sK4,X0) ),
inference(subsumption_resolution,[],[f9786,f77]) ).
fof(f77,plain,
zero = age(sK4,sK5),
inference(cnf_transformation,[],[f55]) ).
fof(f9786,plain,
! [X0] :
( greater(age(sK4,X0),sigma)
| zero != age(sK4,sK5)
| ~ organization(sK4)
| is_aligned(sK4,X0) ),
inference(resolution,[],[f120,f5826]) ).
fof(f5826,plain,
! [X0] :
( dissimilar(sK4,sK5,X0)
| is_aligned(sK4,X0) ),
inference(subsumption_resolution,[],[f5824,f74]) ).
fof(f5824,plain,
! [X0] :
( dissimilar(sK4,sK5,X0)
| ~ organization(sK4)
| is_aligned(sK4,X0) ),
inference(resolution,[],[f128,f3098]) ).
fof(f3098,plain,
! [X0] :
( sP3(X0,sK4,sK5)
| is_aligned(sK4,X0) ),
inference(resolution,[],[f124,f1456]) ).
fof(f1456,plain,
is_aligned(sK4,sK5),
inference(unit_resulting_resolution,[],[f74,f77,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ organization(X0)
| zero != age(X0,X1)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( zero = age(X0,X1)
& organization(X0) )
=> is_aligned(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X3] :
( ( age(X0,X3) = zero
& organization(X0) )
=> is_aligned(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ is_aligned(X1,X2)
| is_aligned(X1,X0)
| sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ( ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) ) ) )
& ( ( ( ~ is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X0)
| is_aligned(X1,X2) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ( sP3(X2,X0,X1)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) ) )
& ( ( ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ sP3(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( sP3(X2,X0,X1)
<=> ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ sP3(X2,X0,X1)
| dissimilar(X0,X1,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ sP3(X2,X0,X1)
| ~ organization(X0) )
& ( ( sP3(X2,X0,X1)
& organization(X0) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ sP3(X2,X0,X1)
| ~ organization(X0) )
& ( ( sP3(X2,X0,X1)
& organization(X0) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( sP3(X2,X0,X1)
& organization(X0) ) ),
inference(definition_folding,[],[f46,f52]) ).
fof(f46,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X4,X3] :
( dissimilar(X0,X4,X3)
<=> ( ~ ( is_aligned(X0,X4)
<=> is_aligned(X0,X3) )
& organization(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( ( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2) )
& ( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma) ) )
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( zero = age(X0,X1)
& organization(X0) )
=> ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X4,X3] :
( ( zero = age(X0,X4)
& organization(X0) )
=> ( greater(age(X0,X3),sigma)
<=> dissimilar(X0,X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).
fof(f10218,plain,
~ smaller(hazard_of_mortality(sK4,sK7),mod1),
inference(forward_demodulation,[],[f10217,f9292]) ).
fof(f9292,plain,
mod1 = hazard_of_mortality(sK4,sK8),
inference(unit_resulting_resolution,[],[f891,f255,f9281,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ positional_advantage(X1,X0)
| is_aligned(X1,X0)
| mod1 = hazard_of_mortality(X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f9281,plain,
~ is_aligned(sK4,sK8),
inference(unit_resulting_resolution,[],[f1456,f9278,f123]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f9278,plain,
sP3(sK8,sK4,sK5),
inference(unit_resulting_resolution,[],[f9271,f127]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| sP3(X2,X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f9271,plain,
dissimilar(sK4,sK5,sK8),
inference(unit_resulting_resolution,[],[f74,f77,f84,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f84,plain,
greater(age(sK4,sK8),sigma),
inference(cnf_transformation,[],[f55]) ).
fof(f891,plain,
positional_advantage(sK4,sK8),
inference(unit_resulting_resolution,[],[f75,f299,f93]) ).
fof(f299,plain,
greater(age(sK4,sK8),tau),
inference(unit_resulting_resolution,[],[f84,f80,f121]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(X0,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f80,plain,
greater(sigma,tau),
inference(cnf_transformation,[],[f55]) ).
fof(f10217,plain,
~ smaller(hazard_of_mortality(sK4,sK7),hazard_of_mortality(sK4,sK8)),
inference(subsumption_resolution,[],[f10216,f9797]) ).
fof(f9797,plain,
mod2 = hazard_of_mortality(sK4,sK6),
inference(unit_resulting_resolution,[],[f498,f255,f9792,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| positional_advantage(X1,X0)
| ~ is_aligned(X1,X0)
| mod2 = hazard_of_mortality(X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f9792,plain,
is_aligned(sK4,sK6),
inference(unit_resulting_resolution,[],[f9785,f5826]) ).
fof(f9785,plain,
~ dissimilar(sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f74,f77,f905,f120]) ).
fof(f905,plain,
~ greater(age(sK4,sK6),sigma),
inference(unit_resulting_resolution,[],[f80,f889,f121]) ).
fof(f889,plain,
~ greater(age(sK4,sK6),tau),
inference(unit_resulting_resolution,[],[f75,f498,f93]) ).
fof(f498,plain,
~ positional_advantage(sK4,sK6),
inference(unit_resulting_resolution,[],[f75,f81,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau)
| ~ robust_position(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f81,plain,
smaller_or_equal(age(sK4,sK6),tau),
inference(cnf_transformation,[],[f55]) ).
fof(f10216,plain,
( mod2 != hazard_of_mortality(sK4,sK6)
| ~ smaller(hazard_of_mortality(sK4,sK7),hazard_of_mortality(sK4,sK8)) ),
inference(forward_demodulation,[],[f10215,f8788]) ).
fof(f8788,plain,
mod2 = hazard_of_mortality(sK4,sK5),
inference(subsumption_resolution,[],[f8787,f178]) ).
fof(f178,plain,
smaller_or_equal(zero,tau),
inference(unit_resulting_resolution,[],[f134,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f134,plain,
smaller(zero,tau),
inference(unit_resulting_resolution,[],[f79,f114]) ).
fof(f79,plain,
greater(tau,zero),
inference(cnf_transformation,[],[f55]) ).
fof(f8787,plain,
( ~ smaller_or_equal(zero,tau)
| mod2 = hazard_of_mortality(sK4,sK5) ),
inference(forward_demodulation,[],[f8786,f77]) ).
fof(f8786,plain,
( mod2 = hazard_of_mortality(sK4,sK5)
| ~ smaller_or_equal(age(sK4,sK5),tau) ),
inference(subsumption_resolution,[],[f8784,f75]) ).
fof(f8784,plain,
( mod2 = hazard_of_mortality(sK4,sK5)
| ~ smaller_or_equal(age(sK4,sK5),tau)
| ~ robust_position(sK4) ),
inference(resolution,[],[f8779,f92]) ).
fof(f8779,plain,
( positional_advantage(sK4,sK5)
| mod2 = hazard_of_mortality(sK4,sK5) ),
inference(resolution,[],[f8080,f1456]) ).
fof(f8080,plain,
! [X0] :
( ~ is_aligned(sK4,X0)
| positional_advantage(sK4,X0)
| mod2 = hazard_of_mortality(sK4,X0) ),
inference(resolution,[],[f107,f255]) ).
fof(f10215,plain,
( hazard_of_mortality(sK4,sK6) != hazard_of_mortality(sK4,sK5)
| ~ smaller(hazard_of_mortality(sK4,sK7),hazard_of_mortality(sK4,sK8)) ),
inference(subsumption_resolution,[],[f10214,f142]) ).
fof(f142,plain,
smaller(mod1,mod2),
inference(unit_resulting_resolution,[],[f89,f114]) ).
fof(f89,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19) ).
fof(f10214,plain,
( ~ smaller(mod1,mod2)
| hazard_of_mortality(sK4,sK6) != hazard_of_mortality(sK4,sK5)
| ~ smaller(hazard_of_mortality(sK4,sK7),hazard_of_mortality(sK4,sK8)) ),
inference(forward_demodulation,[],[f10187,f8788]) ).
fof(f10187,plain,
( ~ smaller(mod1,hazard_of_mortality(sK4,sK5))
| hazard_of_mortality(sK4,sK6) != hazard_of_mortality(sK4,sK5)
| ~ smaller(hazard_of_mortality(sK4,sK7),hazard_of_mortality(sK4,sK8)) ),
inference(superposition,[],[f130,f9292]) ).
fof(f130,plain,
( ~ smaller(hazard_of_mortality(sK4,sK8),hazard_of_mortality(sK4,sK5))
| hazard_of_mortality(sK4,sK6) != hazard_of_mortality(sK4,sK5)
| ~ smaller(hazard_of_mortality(sK4,sK7),hazard_of_mortality(sK4,sK8)) ),
inference(inner_rewriting,[],[f85]) ).
fof(f85,plain,
( hazard_of_mortality(sK4,sK6) != hazard_of_mortality(sK4,sK5)
| ~ smaller(hazard_of_mortality(sK4,sK8),hazard_of_mortality(sK4,sK6))
| ~ smaller(hazard_of_mortality(sK4,sK7),hazard_of_mortality(sK4,sK8)) ),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : MGT064+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:03:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (26273)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (26277)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (26274)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (26280)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (26276)WARNING: value z3 for option sas not known
% 0.14/0.39 % (26276)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 TRYING [4]
% 0.14/0.39 % (26278)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 % (26279)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 % (26275)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [5]
% 0.14/0.41 TRYING [3]
% 0.14/0.41 TRYING [6]
% 0.21/0.44 TRYING [7]
% 0.21/0.46 TRYING [4]
% 0.21/0.47 TRYING [8]
% 0.21/0.49 TRYING [9]
% 0.21/0.52 TRYING [10]
% 0.21/0.53 TRYING [5]
% 1.42/0.56 TRYING [11]
% 1.53/0.61 TRYING [12]
% 2.10/0.66 TRYING [13]
% 2.10/0.71 TRYING [14]
% 2.91/0.77 TRYING [15]
% 2.91/0.84 TRYING [16]
% 3.64/0.90 TRYING [17]
% 4.20/0.97 TRYING [18]
% 4.72/1.05 TRYING [19]
% 5.16/1.13 TRYING [20]
% 5.88/1.22 TRYING [21]
% 6.20/1.30 TRYING [22]
% 7.14/1.40 TRYING [23]
% 7.98/1.49 TRYING [1]
% 7.98/1.50 TRYING [2]
% 7.98/1.50 TRYING [3]
% 7.98/1.50 TRYING [4]
% 7.98/1.50 TRYING [24]
% 7.98/1.50 TRYING [5]
% 7.98/1.51 TRYING [6]
% 8.30/1.55 TRYING [7]
% 8.30/1.60 TRYING [8]
% 8.91/1.63 TRYING [25]
% 8.91/1.67 TRYING [9]
% 9.38/1.74 TRYING [26]
% 10.01/1.78 TRYING [10]
% 10.29/1.88 TRYING [27]
% 10.91/1.93 % (26280)First to succeed.
% 10.91/1.94 % (26280)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26273"
% 10.91/1.94 % (26280)Refutation found. Thanks to Tanya!
% 10.91/1.94 % SZS status Theorem for theBenchmark
% 10.91/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 10.91/1.94 % (26280)------------------------------
% 10.91/1.94 % (26280)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 10.91/1.94 % (26280)Termination reason: Refutation
% 10.91/1.94
% 10.91/1.94 % (26280)Memory used [KB]: 4875
% 10.91/1.94 % (26280)Time elapsed: 1.548 s
% 10.91/1.94 % (26280)Instructions burned: 6853 (million)
% 10.91/1.94 % (26273)Success in time 1.557 s
%------------------------------------------------------------------------------